Answer:
Elga is 32 years old.
Step-by-step explanation:
Let Alvin's age = A
Let Elga's age = E
Alvin is 10 years younger than Elga, so A = E - 10
The sum of their ages is 54, so A + E = 54
Replace the A in the second equation with E - 10, then solve for E.
A + E = 54 becomes (E - 10) + E = 54
Combine like terms
2E - 10 = 54
Add 10 to both sides
2E = 64
Divide both sides by 2
E = 32
Answer:
Haeather ran at a speed of 5 miles per hour.
Step-by-step explanation:
Given that last week at the park Haeather ran 4 miles in 48 minutes, to determine what was Haeather rate of speed in miles per hour the following mathematical calculation must be performed:
48/4 = 12
Thus, Haeather ran 1 mile every 12 minutes.
60/12 = 5
1 x 5 = 5
Therefore, Haeather ran at a speed of 5 miles per hour.
Answer:
leanlemspbackup
Step-by-step explanation:
I made this username in 2016 ignore-
Answer: The set of integers is closed for addition, subtraction, and multiplication but not for division.
Positive value of x for the given function 2h(x) = log₂(x² +2) is equal to √62.
As given in the question,
Function h is given by : 2h(x) = log₂(x² +2)
Using the definition of logarithm function
aˣ = y
⇒x= logₐy
For h(x) =3, Apply definition of logarithm function we get,
2× 3 = log₂(x² +2)
⇒6= log₂(x² +2)
⇒2⁶ = x² +2
⇒x² = 64-2
⇒x²= 62
⇒x = √62
Therefore, positive value of x for the given function 2h(x) = log₂(x² +2) is equal to √62.
Learn more about function here
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